QUANTUM AVERAGING .1. POINCARE-VON ZEIPEL IS RAYLEIGH-SCHRODINGER

被引:23
作者
SCHERER, W
机构
[1] Inst. fur Theor. Phys., Tech. Univ. Clausthal
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 24期
关键词
D O I
10.1088/0305-4470/27/24/028
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An exact analogue of the method of averaging in classical mechanics is constructed for self-adjoint operators. It is shown to be completely equivalent to the usual Rayleigh-Schrodinger perturbation theory but gives the sums over intermediate states in closed-form expressions. The anharmonic oscillator and the Henon-Heiles system are treated as examples to illustrate the quantum averaging method.
引用
收藏
页码:8231 / 8246
页数:16
相关论文
共 27 条
[1]   THE QUANTUM NORMAL-FORM AND ITS EQUIVALENTS [J].
ALI, MK .
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (10) :2565-2572
[2]   BIRKHOFF-GUSTAVSON NORMAL-FORM IN CLASSICAL AND QUANTUM-MECHANICS [J].
ECKHARDT, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (15) :2961-2972
[3]  
Giacaglia G. E. O., 1972, PERTURBATION METHODS
[4]   Quantum-theoretical reinterpretation of kinematic and mechanical connections [J].
Heisenberg, W .
ZEITSCHRIFT FUR PHYSIK, 1925, 33 :879-893
[5]  
Kato T., 1966, PERTURBATION THEORY
[6]  
Kolmogorov A.N., 1954, DOKL AKAD NAUK SSSR, V98, P527, DOI DOI 10.1007/BFB0021737
[7]   HOW TO AVOID SECULAR TERMS IN CLASSICAL AND QUANTUM MECHANICS [J].
KUMMER, M .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B, 1971, B 1 (02) :123-&
[8]  
KUMMER M, 1994, IN PRESS P WORKSH CO
[9]  
KUMMER MARTIN, COMMUNICATION
[10]   METHOD OF AVERAGING AND THE QUANTUM ANHARMONIC-OSCILLATOR [J].
LEMLIH, AB ;
ELLISON, JA .
PHYSICAL REVIEW LETTERS, 1985, 55 (19) :1950-1953